LEGENDRIAN KNOTS AND LINKS CLASSIFIED BY CLASSICAL INVARIANTS-Reference-Cited by-同舟云学术

LEGENDRIAN KNOTS AND LINKS CLASSIFIED BY CLASSICAL INVARIANTS

Published:2007-04 Issue:02 Volume:09 Page:135-162
ISSN:0219-1997
Container-title:Communications in Contemporary Mathematics
language:en
Short-container-title:Commun. Contemp. Math.

Author:

DING FAN¹,GEIGES HANSJÖRG²

Affiliation:

1. Department of Mathematics, Peking University, Beijing 100871, P. R. China

2. Mathematisches Institut, Universität zu Köln, Weyertal 86–90, 50931 Köln, Germany

Abstract

It is shown that Legendrian (respectively transverse) cable links in S3 with its standard tight contact structure, i.e. links consisting of an unknot and a cable of that unknot, are classified by their oriented link type and the classical invariants (Thurston–Bennequin invariant and rotation number in the Legendrian case, self-linking number in the transverse case). The analogous result is proved for torus knots in the 1-jet space J1(S1) with its standard tight contact structure.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219199707002381

Reference15 articles.

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